Abstract

In this paper we study the boundedness, the persistence, the
attractivity and the stability of the positive solutions of the
nonlinear difference equation
xn+1=α+(xn−1p/xnq), n=0,1,…, where α,p,q∈(0,∞) and x−1,x0∈(0,∞). Moreover we investigate the existence of a prime two periodic
solution of the above equation and we find solutions which converge
to this periodic solution.